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Vertex operator algebras and representations of affine Lie algebras
Authors:Arne Meurman  Mirko Primc
Affiliation:(1) Department of Mathematics, University of Lund, Box 118, S-22100 Lund, Sweden;(2) Department of Mathematics, University of Zagreb, Zagreb, Croatia
Abstract:
We announce the construction of an explicit basis for all integrable highest weight modules over the Lie algebra A1(1). The construction uses representations of vertex operator algebras and leads to combinatorial identities of Rogers-Ramanujan-type.
Keywords:17B67
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